## 2011.10: Commuting Involution Graphs for 3-Dimensional Unitary Groups

2011.10:
Alistaire Everett
(2011)
*Commuting Involution Graphs for 3-Dimensional Unitary Groups.*

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## Abstract

For a group G and X a subset of G the commuting graph of G on X, denoted by C(G,X), is the graph whose vertex set is X with x, y in X joined by an edge if x =/= y and x and y commute. If the elements in X are involutions, then C(G,X) is called a commuting involution graph. This paper studies C(G,X) when G is a 3-dimensional projective special unitary group and X a G-conjugacy class of involutions, determining the diameters and structure of the discs of these graphs.

Item Type: | MIMS Preprint |
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Uncontrolled Keywords: | Unitary Groups; Involutions; Commuting Involution Graphs |

Subjects: | MSC 2000 > 20 Group theory and generalizations |

MIMS number: | 2011.10 |

Deposited By: | Mr Alistaire Everett |

Deposited On: | 18 January 2011 |

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